Newform search results

Note: Search results may be incomplete due to uncomputed quantities: atkin_lehner_string (110727 objects)

Results (4 matches)

 

Label	Level	Weight	Char	Prim	Char order	Dim	Rel. Dim	$A$	Field	CM	Self-dual	Inner twists	Rank*	Traces					A-L signs		Fricke sign	Coefficient ring index	Sato-Tate	$q$-expansion
														$a_{2}$	$a_{3}$	$a_{5}$	$a_{7}$		2	3
384.4.a.d	$384$	$4$	384.a	1.a	$1$	$1$	$1$	$22.657$	\(\Q\)	None	✓	$1$	$0$	\(0\)	\(-3\)	\(8\)	\(10\)		$+$	$+$	$+$	$1$	$\mathrm{SU}(2)$	\(q-3q^{3}+8q^{5}+10q^{7}+9q^{9}+68q^{11}+\cdots\)
384.4.a.i	$384$	$4$	384.a	1.a	$1$	$2$	$2$	$22.657$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-16\)	\(4\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-8+\beta )q^{5}+(2+3\beta )q^{7}+\cdots\)
384.4.a.j	$384$	$4$	384.a	1.a	$1$	$2$	$2$	$22.657$	\(\Q(\sqrt{15}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(-8\)	\(4\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(-4+\beta )q^{5}+(2-\beta )q^{7}+9q^{9}+\cdots\)
384.4.a.l	$384$	$4$	384.a	1.a	$1$	$2$	$2$	$22.657$	\(\Q(\sqrt{7}) \)	None	✓	$1$	$0$	\(0\)	\(-6\)	\(16\)	\(-4\)		$+$	$+$	$+$	$2^{2}$	$\mathrm{SU}(2)$	\(q-3q^{3}+(8+\beta )q^{5}+(-2+3\beta )q^{7}+\cdots\)